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Maurice A. De Gosson
Maurice A. de Gosson (born 13 March 1948), (also known as Maurice Alexis de Gosson de Varennes) is an Austrian mathematician and mathematical physicist, born in 1948 in Berlin. He is currently a Senior Researcher at the Numerical Harmonic Analysis Group (NuHAG) of the University of Vienna. Work After completing his PhD in microlocal analysis at the University of Nice in 1978 under the supervision of Jacques Chazarain, de Gosson soon became fascinated by Jean Leray's Lagrangian analysis. Under Leray's tutorship de Gosson completed a Habilitation à Diriger des Recherches en Mathématiques at the University of Paris 6 (1992). During this period he specialized in the study of the Leray–Maslov index and in the theory of the metaplectic group, and their applications to mathematical physics. In 1998 de Gosson met Basil Hiley, who triggered his interest in conceptual question in quantum mechanics. Basil Hiley wrote a foreword to de Gosson's book ''The Principles of Newtonian an ...
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Berlin
Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constituent states, Berlin is surrounded by the State of Brandenburg and contiguous with Potsdam, Brandenburg's capital. Berlin's urban area, which has a population of around 4.5 million, is the second most populous urban area in Germany after the Ruhr. The Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's third-largest metropolitan region after the Rhine-Ruhr and Rhine-Main regions. Berlin straddles the banks of the Spree, which flows into the Havel (a tributary of the Elbe) in the western borough of Spandau. Among the city's main topographical features are the many lakes in the western and southeastern boroughs formed by the Spree, Havel and Dahme, the largest of which is Lake Müggelsee. Due to its l ...
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Hans Georg Feichtinger
Hans may refer to: __NOTOC__ People * Hans (name), a masculine given name * Hans Raj Hans, Indian singer and politician ** Navraj Hans, Indian singer, actor, entrepreneur, cricket player and performer, son of Hans Raj Hans ** Yuvraj Hans, Punjabi actor and singer, son of Hans Raj Hans * Hans clan, a tribal clan in Punjab, Pakistan Places * Hans, Marne, a commune in France * Hans Island, administrated by Greenland and Canada Arts and entertainment * ''Hans'' (film) a 2006 Italian film directed by Louis Nero * Hans (Frozen), the main antagonist of the 2013 Disney animated film ''Frozen'' * ''Hans'' (magazine), an Indian Hindi literary monthly * ''Hans'', a comic book drawn by Grzegorz Rosiński and later by Zbigniew Kasprzak Other uses * Clever Hans, the "wonder horse" * ''The Hans India'', an English language newspaper in India * HANS device, a racing car safety device *Hans, the ISO 15924 code for Simplified Chinese script See also *Han (other) *Hans im Glück, a Germa ...
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Non-squeezing Theorem
The non-squeezing theorem, also called ''Gromov's non-squeezing theorem'', is one of the most important theorems in symplectic geometry. It was first proven in 1985 by Mikhail Gromov. The theorem states that one cannot embed a ball into a cylinder via a symplectic map unless the radius of the ball is less than or equal to the radius of the cylinder. The theorem is important because formerly very little was known about the geometry behind symplectic maps. One easy consequence of a transformation being symplectic is that it preserves volume. One can easily embed a ball of any radius into a cylinder of any other radius by a volume-preserving transformation: just picture squeezing the ball into the cylinder (hence, the name non-squeezing theorem). Thus, the non-squeezing theorem tells us that, although symplectic transformations are volume-preserving, it is much more restrictive for a transformation to be symplectic than it is to be volume-preserving. Background and statement W ...
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Mikhail Leonidovich Gromov
Mikhael Leonidovich Gromov (also Mikhail Gromov, Michael Gromov or Misha Gromov; russian: link=no, Михаи́л Леони́дович Гро́мов; born 23 December 1943) is a Russian-French mathematician known for his work in geometry, analysis and group theory. He is a permanent member of IHÉS in France and a professor of mathematics at New York University. Gromov has won several prizes, including the Abel Prize in 2009 "for his revolutionary contributions to geometry". Biography Mikhail Gromov was born on 23 December 1943 in Boksitogorsk, Soviet Union. His Russian father Leonid Gromov and his Jewish mother Lea Rabinovitz were pathologists. His mother was the cousin of World Chess Champion Mikhail Botvinnik, as well as of the mathematician Isaak Moiseevich Rabinovich. Gromov was born during World War II, and his mother, who worked as a medical doctor in the Soviet Army, had to leave the front line in order to give birth to him. When Gromov was nine years old, his mother ...
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Bremen
Bremen (Low German also: ''Breem'' or ''Bräm''), officially the City Municipality of Bremen (german: Stadtgemeinde Bremen, ), is the capital of the German state Free Hanseatic City of Bremen (''Freie Hansestadt Bremen''), a two-city-state consisting of the cities of Bremen and Bremerhaven. With about 570,000 inhabitants, the Hanseatic city is the 11th largest city of Germany and the second largest city in Northern Germany after Hamburg. Bremen is the largest city on the River Weser, the longest river flowing entirely in Germany, lying some upstream from its mouth into the North Sea, and is surrounded by the state of Lower Saxony. A commercial and industrial city, Bremen is, together with Oldenburg and Bremerhaven, part of the Bremen/Oldenburg Metropolitan Region, with 2.5 million people. Bremen is contiguous with the Lower Saxon towns of Delmenhorst, Stuhr, Achim, Weyhe, Schwanewede and Lilienthal. There is an exclave of Bremen in Bremerhaven, the "Citybremian Overseas Port ...
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Jacobs Universität
Jacobs may refer to: Businesses and organisations * Jacob's, a brand name for several lines of biscuits and crackers in Ireland and the UK * Jacobs (coffee), a brand of coffee *Jacobs Aircraft Engine Company, former American aircraft engine company * Jacobs Engineering Group, an American international technical professional services firm * Jacobs Entertainment, an American gaming, hospitality, and entertainment company *Jacobs School of Medicine and Biomedical Sciences, at the University at Buffalo, New York, U.S. * Jacobs School of Music, at, Indiana University, U.S. * Jacobs University Bremen, in Germany Places *Jacobs, Louisville, Kentucky, U.S. *Jacobs, Pennsylvania, U.S., now Port Providence *Jacobs, Wisconsin, U.S. *Jacobs Island, Antarctica Other uses *Jacobs (surname), including a list of people with this name *Jacobs F.C., a former Irish football club *, a tug, formerly ''Empire Gnome'' See also * Jacob (other) * Jacobs Creek (other) * Jacobs River ...
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Toulouse
Toulouse ( , ; oc, Tolosa ) is the prefecture of the French department of Haute-Garonne and of the larger region of Occitania. The city is on the banks of the River Garonne, from the Mediterranean Sea, from the Atlantic Ocean and from Paris. It is the fourth-largest city in France after Paris, Marseille and Lyon, with 493,465 inhabitants within its municipal boundaries (2019 census); its metropolitan area has a population of 1,454,158 inhabitants (2019 census). Toulouse is the central city of one of the 20 French Métropoles, with one of the three strongest demographic growth (2013-2019). Toulouse is the centre of the European aerospace industry, with the headquarters of Airbus, the SPOT satellite system, ATR and the Aerospace Valley. It hosts the CNES's Toulouse Space Centre (CST) which is the largest national space centre in Europe, but also, on the military side, the newly created NATO space centre of excellence and the French Space Command and Space Academy. Thales ...
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Université Paul Sabatier
Paul Sabatier University (''Université Paul Sabatier'', UPS, also known as Toulouse III) is a French public university, in the Academy of Toulouse. It is one of the several successor universities of the University of Toulouse. Toulouse III was named after Paul Sabatier, winner of the 1912 Nobel prize in chemistry. In 1969, it was established on the foundations of the old Toulouse university that was itself founded in 1229. The Université Paul Sabatier (UPS), an educational leader in France's Midi-Pyrénées region, offers a broad array of programs in the sciences, technology, health, and athletics. University research activities * Space, earth sciences, climate * Computer science and electronics * Life sciences * Water, process engineering, chemistry * Materials (among others, collaboration with CEMES), solid state physics, aeronautics, astrophysics Major fields of study Major fields of study include sciences, engineering, and athletics. Bachelor The univers ...
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Bonn
The federal city of Bonn ( lat, Bonna) is a city on the banks of the Rhine in the German state of North Rhine-Westphalia, with a population of over 300,000. About south-southeast of Cologne, Bonn is in the southernmost part of the Rhine-Ruhr region, Germany's largest metropolitan area, with over 11 million inhabitants. It is a university city and the birthplace of Ludwig van Beethoven. Founded in the 1st century BC as a Roman settlement in the province Germania Inferior, Bonn is one of Germany's oldest cities. It was the capital city of the Electorate of Cologne from 1597 to 1794, and residence of the Archbishops and Prince-electors of Cologne. From 1949 to 1990, Bonn was the capital of West Germany, and Germany's present constitution, the Basic Law, was declared in the city in 1949. The era when Bonn served as the capital of West Germany is referred to by historians as the Bonn Republic. From 1990 to 1999, Bonn served as the seat of government – but no longer capital – ...
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Max-Planck-Institut Für Mathematik
The Max Planck Institute for Mathematics (german: Max-Planck-Institut für Mathematik, MPIM) is a prestigious research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck Society (''Max-Planck-Gesellschaft''), an association of 84 institutes engaging in fundamental research in the arts and the sciences. The MPIM is the only Max Planck institute specializing in pure mathematics. The Institute was founded by Friedrich Hirzebruch in 1980, having emerged from the collaborative research center "Theoretical Mathematics" ( Sonderforschungsbereich "Theoretische Mathematik"). Hirzebruch shaped the institute as its director until his retirement in 1995. Currently, the institute is managed by a board of five directors consisting of Peter Teichner (managing director), Werner Ballmann, Gerd Faltings, Peter Scholze, and Don Zagier. Friedrich Hirzebruch was, and Yuri Manin and Günter Harder are, acting as emeriti. Resea ...
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Albert-Einstein-Institut
The Max Planck Institute for Gravitational Physics ( Albert Einstein Institute) is a Max Planck Institute whose research is aimed at investigating Einstein's theory of relativity and beyond: Mathematics, quantum gravity, astrophysical relativity, and gravitational-wave astronomy. The institute was founded in 1995 and is located in the Potsdam Science Park in Golm, Potsdam and in Hannover where it closely collaborates with the Leibniz University Hannover. Both the Potsdam and the Hannover parts of the institute are organized in three research departments and host a number of independent research groups. The institute conducts fundamental research in mathematics, data analysis, astrophysics and theoretical physics as well as research in laser physics, vacuum technology, vibration isolation and classical and quantum optics. When the LIGO Scientific Collaboration announced the first detection of gravitational waves, researchers of the institute were involved in modeling, det ...
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University Of Potsdam
The University of Potsdam is a public university in Potsdam, capital of the state of Brandenburg, Germany. It is mainly situated across three campuses in the city. Some faculty buildings are part of the New Palace of Sanssouci which is known for its UNESCO World Heritage status. The University of Potsdam is Brandenburg's largest university and the fourth largest in the Berlin-Brandenburg metropolitan area. More than 8,000 people are working in scholarship and science. In 2009 the University of Potsdam became a winner in the "Excellence in Teaching" initiative of the Stifterverband für die Deutsche Wissenschaft (Business innovation agency for the German science system). History The University of Potsdam was formed in 1991 by the amalgamation of the ''Karl Liebknecht College of Education'' and the ''Brandenburg State College'', as well as several other smaller institutions. As the university in large part emerged from the College of Education, emphasis today is still placed ...
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